US6898550B1 - Monitoring activity of a user in locomotion on foot - Google Patents
Monitoring activity of a user in locomotion on foot Download PDFInfo
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- US6898550B1 US6898550B1 US09/643,191 US64319100A US6898550B1 US 6898550 B1 US6898550 B1 US 6898550B1 US 64319100 A US64319100 A US 64319100A US 6898550 B1 US6898550 B1 US 6898550B1
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Abstract
Description
PaceINST =Mp*Tc FS +Bp, (1)
wherein Mp and Bp are constants representing the slope and Y-intercept points of a graph of Pace vs. Tc, and the symbol “*” is the multiplication operator. In light of this relationship, the average pace of the user during a given time period (PaceAVE) may be calculated by replacing the individual foot contact time (TcFS) in the equation (1) with the average value of several individual foot contact times during the measured time period (TcAVE) above to yield the equation:
PaceAVE =Mp*Tc AVE +Bp (2)
Pace=Mp W *Tc W +Bp W Pace=Mp R *Tc R +Bp R (3)
Ls=Tc*Speed (4)
Ls=Mstep W*Speed+Bstep W Ls=Mstep R*Speed+Bstep R (5)
Pace=1/Bstep W *Tc W −Mstep W /Bstep W Pace=1/Bstep R *Tc R −Mstep R /Bstep R (6)
Speed=1/Pace (7)
Speed=1/(Mp W *Tc W +Bp W) Speed=1/(Mp R *Tc R +Bp R) (8)
Speed=(1/Tc)*Ms W +Bs W Speed=(1/Tc)*Ms R +Bs R (9)
wherein MsW and MsR are constants representing the slopes of the
DistanceW =Ts W/(Mp W *Tc WAVE +Bp W) DistanceR =ΣTs R/(Mp R *Tc RAVE +Bp R) (10)
DistanceTOTAL =ΣTs W/(Mp W *Tc WAVE +Bp W)+ΣTs R/(Mp R *Tc RAVE +Bp R) (11)
Distance=Speed*Time (12)
Therefore, by combining the equations (9) and (12), for each complete footstep taken by the user 112 (i.e., during each step time (Ts)), the distance traveled by the
Distance=(Ts/Tc)*Ms W +Ts*Bs W Distance=(Ts/Tc)*Ms R +Ts*Bs R (13)
Total Walking Distance=Σ(Ts W /Tc W)*Ms W +ΣTs R *Bs W (14)
Total Running Distance=Σ(Ts R /Tc R)*Ms R +ΣTs R *Bs R (15)
Total Distance=Σ(Ts W /Tc W)*Ms W +ΣTs R *Bs W+Σ(Ts R /Tc R)*Ms R +ΣTs R *Bs R (16)
PaceTcBASELINE =m CalVal *CalVal p +b CalVal (17)
Wherein CalValp is the single calibration value (e.g., a number between “0” and “200”) and mCalVal and bCalVal are constants defining, respectively, the slope and Y-intercept of the relationship between PaceTcBASELINE and CalValp. It should be appreciated that the relationship between the single calibration value and pace, for the baseline foot contact time (Tc), may alternatively be non-linear, and the invention is not limited to a linear relationship such as that shown.
Mp W =
wherein C1 and C2 are universal constants. The constants C1 and C2 are referred to herein as the “Darley constants,” named after their discoverer, Jesse Darley, of Watertown, Mass. When the units used in the graphs of
Bp W =−PP W *Mp W Bp R =−PP R *Mp R (19)
wherein PPW is equal to the Tc value at the
Bp W =−PP W *
Tc=(Pace−Bp W)/Mp W Tc=(Pace−Bp R)/Mp R (21)
Ms W =Tc*(Speed−Bs W) Ms R =Tc*(Speed−Bs R) (22)
The equations (19) and (20) then may be combined to yield the equations:
Ms W=(SpeedEPW −Bs W)*(Pace EPW −Bp W)/Mp W Ms R=(SpeedEPR −Bs R)*(PaceEPR −Bp R)/Mp R (23)
wherein SpeedEPW and PaceEPW represent, respectively, the speed at one of the “end points” 1306 and 1308 of the
Ms W=(SpeedEPW −Bs W)*(PaceEPW +PP W *
Thus, in the equations (24), the value of each of the constants in the equations (11) (i.e., MsW or MsR) is defined in terms of the other constant (i.e., BsW or BsR) in the same equation. The equations (24) therefore can be combined with the equations (11) to yield the following equations for speed that depend on only one user-specific constant (i.e., BsW or BsR):
Speed=(1/Tc)*(SpeedEPW −Bs W)*(PaceEPW +PP W *
Total Distance=
Σ(Ts W /Tc W)*(SpeedEPW −Bs W)*(PaceEPW +PP W *
ΣTs W *Bs W+
Σ(Ts R /Tc R)*(SpeedEPR −Bs R)*(PaceEPR +PP R *
ΣTs R *Bs R (26)
FI W =HR*Tc W FI R =HR*Tc R (27)
HR=FI W /Tc W HR=FI R /Tc R (28)
F AVE=(Ts*W)/(2*Tc) (29)
wherein “W” is equal to the weight of the user.
Accumulated Stress=ΣF AVE=Σ(W*Ts)/(2*Tc). (30)
Claims (24)
Priority Applications (9)
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US09/643,191 US6898550B1 (en) | 1997-10-02 | 2000-08-21 | Monitoring activity of a user in locomotion on foot |
US11/098,788 US7200517B2 (en) | 1997-10-02 | 2005-04-04 | Monitoring activity of a user in locomotion on foot |
US11/588,589 US7428471B2 (en) | 1997-10-02 | 2006-10-27 | Monitoring activity of a user in locomotion on foot |
US11/706,150 US7428472B2 (en) | 1997-10-02 | 2007-02-13 | Monitoring activity of a user in locomotion on foot |
US11/706,144 US7617071B2 (en) | 1997-10-02 | 2007-02-13 | Monitoring activity of a user in locomotion on foot |
US12/571,392 US7962312B2 (en) | 1997-10-02 | 2009-09-30 | Monitoring activity of a user in locomotion on foot |
US13/158,984 US8712725B2 (en) | 1997-10-02 | 2011-06-13 | Monitoring activity of a user in locomotion on foot |
US14/243,675 US9247897B2 (en) | 1997-10-02 | 2014-04-02 | Monitoring activity of a user in locomotion on foot |
US14/993,900 US20160120414A1 (en) | 1997-10-02 | 2016-01-12 | Monitoring Activity of a User in Locomotion on Foot |
Applications Claiming Priority (10)
Application Number | Priority Date | Filing Date | Title |
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US08/942,802 US6018705A (en) | 1997-10-02 | 1997-10-02 | Measuring foot contact time and foot loft time of a person in locomotion |
US09/164,654 US6122340A (en) | 1998-10-01 | 1998-10-01 | Detachable foot mount for electronic device |
US09/364,559 US6052654A (en) | 1997-10-02 | 1999-07-30 | Measuring foot contact time and foot loft time of a person in locomotion |
US09/382,049 US6336365B1 (en) | 1999-08-24 | 1999-08-24 | Low-cost accelerometer |
US09/521,073 US6560903B1 (en) | 2000-03-07 | 2000-03-07 | Ambulatory foot pod |
US54797700A | 2000-04-12 | 2000-04-12 | |
US54797500A | 2000-04-12 | 2000-04-12 | |
US54797600A | 2000-04-12 | 2000-04-12 | |
US54821700A | 2000-04-12 | 2000-04-12 | |
US09/643,191 US6898550B1 (en) | 1997-10-02 | 2000-08-21 | Monitoring activity of a user in locomotion on foot |
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US09/382,049 Continuation-In-Part US6336365B1 (en) | 1997-10-02 | 1999-08-24 | Low-cost accelerometer |
US09/521,073 Continuation-In-Part US6560903B1 (en) | 1997-10-02 | 2000-03-07 | Ambulatory foot pod |
US54797600A Continuation-In-Part | 1997-10-02 | 2000-04-12 | |
US54797600A Continuation | 1997-10-02 | 2000-04-12 | |
US54821700A Continuation-In-Part | 1997-10-02 | 2000-04-12 | |
US54797700A Continuation-In-Part | 1997-10-02 | 2000-04-12 | |
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US09/643,188 Expired - Lifetime US6876947B1 (en) | 1997-10-02 | 2000-08-21 | Monitoring activity of a user in locomotion on foot |
US11/098,788 Expired - Fee Related US7200517B2 (en) | 1997-10-02 | 2005-04-04 | Monitoring activity of a user in locomotion on foot |
US11/588,589 Expired - Fee Related US7428471B2 (en) | 1997-10-02 | 2006-10-27 | Monitoring activity of a user in locomotion on foot |
US11/706,144 Expired - Fee Related US7617071B2 (en) | 1997-10-02 | 2007-02-13 | Monitoring activity of a user in locomotion on foot |
US11/706,150 Expired - Fee Related US7428472B2 (en) | 1997-10-02 | 2007-02-13 | Monitoring activity of a user in locomotion on foot |
US12/571,392 Expired - Fee Related US7962312B2 (en) | 1997-10-02 | 2009-09-30 | Monitoring activity of a user in locomotion on foot |
US13/158,984 Expired - Fee Related US8712725B2 (en) | 1997-10-02 | 2011-06-13 | Monitoring activity of a user in locomotion on foot |
US14/243,675 Expired - Fee Related US9247897B2 (en) | 1997-10-02 | 2014-04-02 | Monitoring activity of a user in locomotion on foot |
US14/993,900 Abandoned US20160120414A1 (en) | 1997-10-02 | 2016-01-12 | Monitoring Activity of a User in Locomotion on Foot |
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US11/098,788 Expired - Fee Related US7200517B2 (en) | 1997-10-02 | 2005-04-04 | Monitoring activity of a user in locomotion on foot |
US11/588,589 Expired - Fee Related US7428471B2 (en) | 1997-10-02 | 2006-10-27 | Monitoring activity of a user in locomotion on foot |
US11/706,144 Expired - Fee Related US7617071B2 (en) | 1997-10-02 | 2007-02-13 | Monitoring activity of a user in locomotion on foot |
US11/706,150 Expired - Fee Related US7428472B2 (en) | 1997-10-02 | 2007-02-13 | Monitoring activity of a user in locomotion on foot |
US12/571,392 Expired - Fee Related US7962312B2 (en) | 1997-10-02 | 2009-09-30 | Monitoring activity of a user in locomotion on foot |
US13/158,984 Expired - Fee Related US8712725B2 (en) | 1997-10-02 | 2011-06-13 | Monitoring activity of a user in locomotion on foot |
US14/243,675 Expired - Fee Related US9247897B2 (en) | 1997-10-02 | 2014-04-02 | Monitoring activity of a user in locomotion on foot |
US14/993,900 Abandoned US20160120414A1 (en) | 1997-10-02 | 2016-01-12 | Monitoring Activity of a User in Locomotion on Foot |
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US20100057398A1 (en) | 2010-03-04 |
US7617071B2 (en) | 2009-11-10 |
US20070061105A1 (en) | 2007-03-15 |
US8712725B2 (en) | 2014-04-29 |
US20140372064A1 (en) | 2014-12-18 |
US20070208531A1 (en) | 2007-09-06 |
US6876947B1 (en) | 2005-04-05 |
US20160120414A1 (en) | 2016-05-05 |
US20060020421A1 (en) | 2006-01-26 |
US7428471B2 (en) | 2008-09-23 |
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